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Simplifying 6p + -1(4 + 2p) = 2(p + 4) 6p + (4 * -1 + 2p * -1) = 2(p + 4) 6p + (-4 + -2p) = 2(p + 4) Reorder the terms: -4 + 6p + -2p = 2(p + 4) Combine like terms: 6p + -2p = 4p -4 + 4p = 2(p + 4) Reorder the terms: -4 + 4p = 2(4 + p) -4 + 4p = (4 * 2 + p * 2) -4 + 4p = (8 + 2p) Solving -4 + 4p = 8 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -4 + 4p + -2p = 8 + 2p + -2p Combine like terms: 4p + -2p = 2p -4 + 2p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 2p = 8 + 0 -4 + 2p = 8 Add '4' to each side of the equation. -4 + 4 + 2p = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = 8 + 4 2p = 8 + 4 Combine like terms: 8 + 4 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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